Abstract:
:R. A. Fisher's 1930 "reproductive value" is defined as the contribution made by a population's initial age elements to its asymptotically dominating exponential growth mode. For the Leslie discrete-time model, it is the characteristic row vector of the Leslie matrix, and for the integral-equation model of Lotka the similar eigenfunction. It generalizes neatly to a 2-sex model of linear differential equations, and to general n-variable linear systems. However, when resource limitations end the "dilute" stage of linearity, reproductive value loses positive definability. The present linear analysis prepares the way for generalizing reproductive value to nonlinear systems involving first-degree-homogeneous relationships.
journal_name
Proc Natl Acad Sci U S Aauthors
Samuelson PAdoi
10.1073/pnas.74.11.5189subject
Has Abstractpub_date
1977-11-01 00:00:00pages
5189-92issue
11eissn
0027-8424issn
1091-6490journal_volume
74pub_type
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